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Question

Divide :

512÷14


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Solution

Division of fraction by a whole number :

Here, we have given a fraction and a whole number. To divide a fraction by a natural number, we multiply the fraction by the reciprocal of the natural number.

The given fraction is 512 (which is a mixed fraction) and the given natural number is 14.

Reciprocal of natural number 14 is 114.

Firstly, converting 512 into improper form. We have

512=5×2+12=112

Now, multiplying the given fraction 112 with the reciprocal of 14 i.e. 114.

Thus, 112×114 =11×12×14 [multiplying the numerators and denominators of the fractions]

=1128

Therefore, 512÷14=1128


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